The invention provides a liquid fuel micro-flow supply security system and supply method. The system comprises a burner, a balance oil tank, an oil supply port, a flow control valve, a flow limiter, a burner oil supply electromagnetic valve and an intelligent control system. The system is characterized in that the balance oil tank is communicated with an oil source through an oil tube, and the oil supply port is formed in the bottom of the balance oil tank and is communicated to the burner through the oil tube; a balance oil tank liquid level sensor is arranged in the balance oil tank, and the height of the bottom of the balance oil tank on the vertical direction is higher than the height of the burner port of the burner; the burner oil supply electromagnetic valve, the flow control valve and the flow limiter are arranged on the oil tube between the balance oil tank and the burner successively; the intelligent control system is electrically connected with the balance oil tank liquid level sensor and the burner oil supply electromagnetic valve respectively. The system and the method can realize liquid fuel micro-flow supply security and burning and can realize long-time working under the unmanned regulatory condition.